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Beliebt Rechnen >

(d^2y)/(dx^2)-y=4e^xcos(x)

Lösung

\frac{d ^{2} y}{d x ^{2}} - y = 4 e^{x} cos (x)

Lösung

y = c_{1} e^{x} + c_{2} e^{- x} + \frac{8}{5} e^{x} sin (x) - \frac{4}{5} e^{x} cos (x)

Schritte zur Lösung

\frac{d ^{2} y}{d x ^{2}} - y = 4 e^{x} cos (x)

Solve linear ODE:

y = c_{1} e^{x} + c_{2} e^{- x} + \frac{8}{5} e^{x} sin (x) - \frac{4}{5} e^{x} cos (x)

y = c_{1} e^{x} + c_{2} e^{- x} + \frac{8}{5} e^{x} sin (x) - \frac{4}{5} e^{x} cos (x)

Graph

Beliebte Beispiele

y^{''}-y^'-2x=4x^2

y^{^{''}} - y^{^{'}} - 2 x = 4 x^{2}

y^{''}+2y^'+4y=2t-3cos(2t)

y^{^{''}} + 2 y^{^{'}} + 4 y = 2 t - 3 cos (2 t)

3y^{''}-9y^'=sin(2x)

3 y^{^{''}} - 9 y^{^{'}} = sin (2 x)

y^{''}+9y=3,y(0)=0,y^'(0)=0

y^{^{''}} + 9 y = 3, y (0) = 0, y^{^{'}} (0) = 0

y^{''}+0.01*(20-y)=0

y^{^{''}} + 0.01 \cdot (20 - y) = 0